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Zhang, M. and Yan, J. (2012) Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. J. Sci. Comput, 638-655. https://doi.org/10.1007/s10915-011-9564-5

has been cited by the following article:

• TITLE: The Error Estimates of Direct Discontinuous Galerkin Methods Based on Upwind-Baised Fluxes

  AUTHORS: Hui Bi, Yixin Chen

  KEYWORDS: Direct Discontinuous Galerkin Methods, Global Projection, Error Estimates, The Upwind-Biased Fluxes

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 22, 2020

  ABSTRACT: In this paper, we study the error estimates for direct discontinuous Galerkin methods based on the upwind-biased fluxes. We use a newly global projection to obtain the optimal error estimates. The numerical experiments imply that L2norms error estimates can reach to order k + 1 by using time discretization methods.